Answer:
50,803,200 ways
Step-by-step explanation:
In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:
BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.
For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:
There are 50,803,200 ways to set the line-up.
Answer:
22.34 
Step-by-step explanation:
The area of a circle:
A = π
The problem gives the diameter of a circle, which is equal to 2*r.
If 5 1/3 = 2*r, then the radius is (16/3)/2 = 8/3.
Plugging this into the area equation,
A = π*
A = 
or approximately 22.34
f(x)=lnx
y=f(x)
dy/dx= 1/x
tangent at (x,y) has slope 1/x
eqn of tangent is y = mx + c
since the tangent passes through origin, c=0
substitute y = lnx and m= 1/x to above eqn
lnx = 1
x=e
y=lne=1
It depends if 24cm is the long dimension or the short one...it's the answer if 24cm is the short dim.
if 24cm is the long dimension then the answer is
24/1.618
